In a statement, Swire said he summoned Hyon Hak Bong, the North Korean ambassador to Britain, to "stress in the strongest terms the UK's condemnation of their nuclear test", reports Xinhua.
"This is a clear violation of multiple UN Security Council resolutions, and the UK supports the resolve of the UN to implement further significant measures against the regime," Swire said.
On Wednesday, Britain and other members of the UN Security Council issued a statement strongly condemning the latest act as "a clear threat to peace and security on the Korean peninsula and to international security", the minister noted.
"It is essential, as ever, that the international community is united in its approach. It will now commence work on such measures in a new Security Council resolution," he added.
North Korea announced on Wednesday that it "successfully" carried out its first hydrogen bomb test.